Results 181 to 190 of about 427,210 (205)
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Generalized Hankel Matrices and System Realization
SIAM Journal on Mathematical Analysis, 1980We define the Hankel matrix of an adjoint system. Adjoint systems include linear and bilinear systems, automata, and group systems in both the time-varying and time-invariant cases. Our definition of the Hankel matrix unifies the familiar $H_i^j = CA^{i + j} B$ of linear system theory (e.g. R. E. Kalman, P. L. Falb and M. A.
Arbib, Michael A., Manes, Ernest G.
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Russian Mathematical Surveys, 1986
This is a survey paper on circulant, skew circulant and \(\theta\)- circulant matrices and on the fast numerical solution of linear equations by using the circulant, skew circulant, Toeplitz and Hankel matrices.
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This is a survey paper on circulant, skew circulant and \(\theta\)- circulant matrices and on the fast numerical solution of linear equations by using the circulant, skew circulant, Toeplitz and Hankel matrices.
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Hankel matrices and minifunctions
Numerical Functional Analysis and Optimization, 1985If is an infinite Hankel matrix which represents a compact operator on Hilbert space, then there is a unique function f in L∞ having a0,a1,a2j,… as its Fourier co-efficients of non-negative index and satisfying . An algorithm based on [11] is used to approximate numerically the remaining Fourier coefficients of f in case {an} is real and converges to ...
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On the Approximation of Hankel Matrices
1997In this paper we examine the problem of optimal approximation in the 2-norm, of a finite square Hankel matrix by a Hankel matrix of rank one, and provide a necessary and sufficient condition for its solvability.
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Multipliers of H 1 and Hankel Matrices
Proceedings of the American Mathematical Society, 1969A sequenceX = {X(n) } of complex numbers is said to be a multiplier of H' into the sequence space 11 if Xf= {X(n)f(n) } Ell' for every f(z) E= f(n)znCHl. The space of all such multipliers is denoted (HI', 11). The only important known result about (H', 11) is the inequality of Hardy [5, p. 236]: {1/(n+1)} E(H1, 11). Other similar multiplier spaces have
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The Transfer and Hankel Matrices
1999We begin our study of multi-variable linear systems with an analysis of the “transfer matrix” representation along the lines of the representation (7) of Chapter 1.
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On Partial Sum Hankel Matrices
Journal of the London Mathematical Society, 1984openaire +2 more sources
On the parametrization of classes of normal Hankel matrices
Computational Mathematics and Mathematical Physics, 2011V N Chugunov
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Eigenvalue decomposition for persymmetric Hankel matrices with at most three non-zero anti-diagonals
Applied Mathematics and Computation, 2014Jesus Gutierrez-Gutierrez
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The Bruhat decomposition of finite Hankel matrices
Systems and Control Letters, 1986D Prätzel-Wolters, D Hinrichsen
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